Technically, 22 eggs per day might still be doable (barely), because the game let's you accumulate 6 egg-hiding actions at a time. This means as long as you can get into the game every 6 hours or less you never really lose out on egg-hiding actions. Of course, most people sleep a bit longer then this, but if you finish your egg hiding actions just before going to sleep and do more just after waking up then even with 8 hours between you only lose out on 2 egg-hiding actions per day. If you can't access the game during work or during your commute to and from work. and you work 8 hours per day, then you probably can't make it, but if you can access the game for, say, 5 minutes, in the middle of work, then you should be all right as long as you acces it just before and after work.
Anyway, you get the idea. It's very difficult, but it might still be possible, even with normal sleep, work, other stuff in your life.